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blsea [12.9K]
3 years ago
8

Use any method to solve the equations below.a. x2+3x=4 b.(2x+3)(x-4)(x+4)=0

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0

Answer:

Step-by-step explanation:

A. x^2+3x=4

x=1, -4

B. (2x+3)(x-4)(x+4)=0

x= -3/2, 4, -4

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(Before you answer I am looking for how I do it. I have the answers but I need to know an equation to do this instead of using l
Tema [17]

Answer:

14 and 16.

Step-by-step explanation:

We know that two consecutive even numbers is 30.

Let's let n be <em>any number</em>.

Then the first <em>even</em> number must be 2n.

This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.

Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.

We know that they sum to 30. So, we can write the following equation.

(2n)+(2n+2)=30

And we solve from there:

4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7

So, the value of n is 7.

Therefore, the first even number is 7(2)=14.

And the consecutive even number is 16.

Edit: Typo

7 0
2 years ago
Show each step along the Way<br><br>Ur mom
LekaFEV [45]
2x+6 = 20
take 6 from both sides
2x = 14
divide by 2 on both sides
x = 7
8 0
2 years ago
A car traveled 330 miles during a 5½ hour period. If the speed at which the car traveled can be represented in the equation d=rt
Alina [70]

Answer:

The car was travelling at a speed of 60 miles per hour.

Step-by-step explanation:

Given:

Distance traveled = 330 miles

Time Period = 5 \frac12\ hr

we need to find the speed of the car .

Solution:

Time Period = 5 \frac12\ hr

Now we can say that;

\frac12\ hr =0.5\ hr

So Time period = 5+0.5 =5.5\ hr

Now we know that;

Distance traveled (d) is equal to Speed (r) multiplied by Time Period (t).

framing in equation form we get;

d=rt\\\\330 =r\times 5.5

Dividing both side by 5.5 we get;

\frac{330}{5.5}=\frac{5.5r}{5.5}\\\\r = 60\ mi/hr

Hence The car was travelling at a speed of 60 miles per hour.

6 0
3 years ago
The sum of 5 consecutive integers is 505 what is the third number in the sequence
saw5 [17]
5 consecutive integers : x, x + 1, x + 2, x + 3, x + 4

x + x + 1 + x + 2 + x + 3 + x + 4 = 505
5x + 10 = 505
5x = 505 - 10
5x = 495
x = 495/5
x = 99

x + 1 = 99 + 1 = 100
x + 2 = 99 + 2 = 101 <=== 3rd number is 101
x + 3 = 99 + 3 = 102
x + 4 = 99 + 4 = 103
3 0
3 years ago
Carrie likes to buy t-shirts at the local clothing store. The shirts cost $9.95 each. If she buys 25 t-shirts, how much money wi
DerKrebs [107]
Carrie will spend 248.75 on 25 t-shirts. Multiply $9.95 by 25.
3 0
3 years ago
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